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1067709640 = 23526692741
BaseRepresentation
bin111111101000111…
…111010011001000
32202102002021021111
4333220333103020
54141313202030
6253540420104
735313245044
oct7750772310
92672067244
101067709640
114a8770068
122596a7634
1314028636a
14a1b35024
1563b0862a
hex3fa3f4c8

1067709640 has 16 divisors (see below), whose sum is σ = 2402346780. Its totient is φ = 427083840.

The previous prime is 1067709623. The next prime is 1067709647. The reversal of 1067709640 is 469077601.

It can be written as a sum of positive squares in 2 ways, for example, as 992124004 + 75585636 = 31498^2 + 8694^2 .

It is a super-2 number, since 2×10677096402 = 2280007750697859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 26692741 = 1067709640 / (1 + 0 + 6 + 7 + 7 + 0 + 9 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1067709593 and 1067709602.

It is not an unprimeable number, because it can be changed into a prime (1067709647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13346331 + ... + 13346410.

Almost surely, 21067709640 is an apocalyptic number.

1067709640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067709640 is an abundant number, since it is smaller than the sum of its proper divisors (1334637140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1067709640 is a wasteful number, since it uses less digits than its factorization.

1067709640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26692752 (or 26692748 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 1067709640 is about 32675.8265388957. The cubic root of 1067709640 is about 1022.0788181701.

The spelling of 1067709640 in words is "one billion, sixty-seven million, seven hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 26692741 53385482 106770964 133463705 213541928 266927410 533854820 1067709640